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Bayes' Theorem

If Fx is the ...

Question

If F(x) is the cumulative distributive function of a random variable x whose range is from $- α$ to $+ α$ , then $P (X < - α)$

1

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\frac{1}{2}

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0

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\frac{1}{3}

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Solution

The correct option is D $0$
We have for a random variable $X$ ,
$F (x) = P (X \leq x) = 0$ for $x < 0$ (since the random variable cannot assume negative values, so its probability is 0)
So, $P (X < - α) = 0$

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